SOLUTION: Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. cos 33pi\4.

Question 236032: Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.
cos 33pi\4.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
cos 33pi\4.
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32pi/4 = 8pi which is 4 revolutions. Subtract that.
--> cos(pi/4) = sqrt(2)/2
I didn't use a calculator, I know that one.
It's 1/8 of a revolution, or 45�.
If you plot it on a unit circle, x and y are equal, and r is x*sqrt(2)
cos = x/r = sqrt(2)/2

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